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Finding the Fourth Proportional to 3,782.84, 5,675.34 and 2,743.88

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Solution

The fourth proportional to 3,782.84, 5,675.34 and 2,743.88 is: 4,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.84 : 5,675.34 = 2,743.88 : x
  2. Step 2: Convert to fraction form
    3,782.84/5,675.34 = 2,743.88/x
  3. Step 3: Cross multiply
    3,782.84x = 5,675.34 × 2,743.88
  4. Step 4: Simplify right side
    3,782.84x = 15,572,451.92
  5. Step 5: Solve for x
    x = 15,572,451.92/3,782.84
  6. Step 6: Final answer
    x = 4,116.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.